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Finding the Third Proportional to 507.75 and 841.13

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Solution

The third proportional to 507.75 and 841.13 is: 1,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.75 : 841.13 = 841.13 : x
  2. Step 2: Convert to fraction form
    507.75/841.13 = 841.13/x
  3. Step 3: Cross multiply
    507.75x = 841.13 × 841.13
  4. Step 4: Simplify right side
    507.75x = 707,491.27
  5. Step 5: Solve for x
    x = 707,491.27/507.75
  6. Step 6: Final answer
    x = 1,393.39

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.